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82412237 is a prime number
BaseRepresentation
bin1001110100110…
…00001011001101
312202001222100002
410322120023031
5132044142422
612102214045
72020330625
oct472301315
9182058302
1082412237
1142579596
1223724325
13140c634b
14ad33885
15737d692
hex4e982cd

82412237 has 2 divisors, whose sum is σ = 82412238. Its totient is φ = 82412236.

The previous prime is 82412233. The next prime is 82412269. The reversal of 82412237 is 73221428.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61058596 + 21353641 = 7814^2 + 4621^2 .

It is a cyclic number.

It is not a de Polignac number, because 82412237 - 22 = 82412233 is a prime.

It is equal to p4801970 and since 82412237 and 4801970 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82412233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41206118 + 41206119.

It is an arithmetic number, because the mean of its divisors is an integer number (41206119).

Almost surely, 282412237 is an apocalyptic number.

It is an amenable number.

82412237 is a deficient number, since it is larger than the sum of its proper divisors (1).

82412237 is an equidigital number, since it uses as much as digits as its factorization.

82412237 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5376, while the sum is 29.

The square root of 82412237 is about 9078.1185826139. The cubic root of 82412237 is about 435.1749628678.

The spelling of 82412237 in words is "eighty-two million, four hundred twelve thousand, two hundred thirty-seven".